Strictly Positive Definite Functions on Compact Two-Point Homogeneous Spaces: the Product Alternative

• Published in: Symmetry, Integrability and Geometry: Methods and Applications
• Date: 2018
• Main Authors: Bonfim, R.N., Guella, J.C., Menegatto, V.A.
• Format: Article
• Language: English
• Published: Інститут математики НАН України 2018
• Online Access: https://nasplib.isofts.kiev.ua/handle/123456789/209845
• Journal Title: Digital Library of Periodicals of National Academy of Sciences of Ukraine
• Cite this: Strictly Positive Definite Functions on Compact Two-Point Homogeneous Spaces: the Product Alternative / R.N. Bonfim, J.C. Guella, V.A. Menegatto // Symmetry, Integrability and Geometry: Methods and Applications. — 2018. — Т. 14. — Бібліогр.: 29 назв. — англ.

For two continuous and isotropic positive definite kernels on the same compact two-point homogeneous space, we determine necessary and sufficient conditions in order that their product be strictly positive definite. We also provide a similar characterization for kernels on the space-time setting G×S...